填空题
2.∫xln(1+x2)dx=_____．
- 1、
【正确答案】
1、{{*HTML*}}
(1+x2)ln(1+x2)-
(1+x2)ln(1+x2)-
【答案解析】xln(1+x2)dx=
∫ln(1+x2)d(x2)=
x2ln(1+x2)-
dx
=
x2ln(1+x2)-∫(x-
)dx
=
(1+x2)ln(1+x2)-
∫ln(1+x2)d(x2)=x2ln(1+x2)-dx=
x2ln(1+x2)-∫(x-)dx=
(1+x2)ln(1+x2)-